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Assoli18 [71]
3 years ago
14

If c(x) = 4x – 2 and d(x) = x^2+ 5x, what is (c circle d) (x)?

Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

4x² + 20x - 2

Step-by-step explanation:

To evaluate (c ○ d)(x), substitute x = d(x) into c(x)

c(x² + 5x)

= 4(x² + 5x) - 2

= 4x² + 20x - 2

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Can someone help, please?
Sunny_sXe [5.5K]
You have to first mess around with the first shape, ABCD, and split that into a rectangle and a right triangle. once you do that, it's pretty painstaking, but simple.

if you look at it you can tell that EFGH is just half the size, but the same ratios and everything.

So, you would just take every perimeter measurement from ABCD, and divide it by two and then sum them together.

2.5 + 1.5 + 4.0 + 2.0 = 10
6 0
3 years ago
Renee has 1/4 yard of floral fabric. She cuts it into 5 equal pieces. How long is each new piece of fabric?
Zinaida [17]

Answer:

\dfrac{1}{20}\ \text{yards}

Step-by-step explanation:

Given that,

Renee has 1/4 yard of floral fabric.

She cuts it into 5 equal pieces.

We need to find the length of each new piece of fabric. It is equal to the total length divided by the total number of pieces. So,

l=\dfrac{\dfrac{1}{4}}{5}\\\\=\dfrac{1}{4}\times \dfrac{1}{5}\\\\=\dfrac{1}{20}\ \text{yards}

So, each new piece pf fabric is \dfrac{1}{20}\ \text{yards}.

5 0
3 years ago
A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the
vladimir2022 [97]

Answer: the distance from one corner of the field to the other corner is 136 m

Step-by-step explanation:

The distance from one corner to the other corner is the diagonal and it

divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

d² = 110² + 80²

d² = 12100 + 6400 = 18500

d = √18500

d = 136 meters

5 0
3 years ago
How many possible outfit combinations come from 10 shirts, two slacks, and five ties? A.  17B.  25C.  100D.  20 
Scilla [17]
<span>100.  Since 10 shirts x 2 slacks means 20 combos with one tie and 100 with 5 ties</span>
7 0
3 years ago
Read 2 more answers
A projectile is shot into the air following the path,h(x) = - 5t2 + 20t + 3. At what time will it reach a maximum height? t = 1
kramer

Answer:

t = 2

Step-by-step explanation:

Notice that this expression for the projectile's path is that of a quadratic function with negative leading term. The graph of it therefore consists of a parabola with the branches pointing down (due to he negative leading coefficient). Therefore, the maximum of such parabola will reside at its vertex.

Recall that the formula for the position of the vertex in a general parabolic function of the form: y(x)=ax^2+bx+c, is given by the expression: x_{vertex}=-\frac{b}{2a}

In our case, the variable "x" is in fact "t", the leading coefficient (a) is -5, and the coefficient for the linear term (b) is 20.

Therefore, the maximum of the path will be when t=-\frac{20}{2(-5)} =\frac{20}{10} =2

7 0
3 years ago
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